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Simplifying 2g + 4(g + -8) = 4(2g + -15) Reorder the terms: 2g + 4(-8 + g) = 4(2g + -15) 2g + (-8 * 4 + g * 4) = 4(2g + -15) 2g + (-32 + 4g) = 4(2g + -15) Reorder the terms: -32 + 2g + 4g = 4(2g + -15) Combine like terms: 2g + 4g = 6g -32 + 6g = 4(2g + -15) Reorder the terms: -32 + 6g = 4(-15 + 2g) -32 + 6g = (-15 * 4 + 2g * 4) -32 + 6g = (-60 + 8g) Solving -32 + 6g = -60 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. -32 + 6g + -8g = -60 + 8g + -8g Combine like terms: 6g + -8g = -2g -32 + -2g = -60 + 8g + -8g Combine like terms: 8g + -8g = 0 -32 + -2g = -60 + 0 -32 + -2g = -60 Add '32' to each side of the equation. -32 + 32 + -2g = -60 + 32 Combine like terms: -32 + 32 = 0 0 + -2g = -60 + 32 -2g = -60 + 32 Combine like terms: -60 + 32 = -28 -2g = -28 Divide each side by '-2'. g = 14 Simplifying g = 14
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